Find 0 if 0 is between 0° and 90°. Round your answer to the nearest tenth of a degree. Csc 0 = 1.7292 Need Help? Talk to a Tutor Read It
Find 0 if 0 is between 0° and 90°. Round your answer to the nearest tenth of a degree. Csc 0 = 1.7292 Need Help? Talk to a Tutor Read It
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Trigonometric Problem: Finding θ**
**Problem Statement:**
Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree.
**Given:**
\[ \csc \theta = 1.7292 \]
**Answer:**
\[ \boxed{\ \ \ \ °} \]
**Instructions:**
1. Start by understanding that csc θ (cosecant of θ) is the reciprocal of sin θ:
\[ \csc \theta = \frac{1}{\sin \theta} \]
2. You are given that:
\[ \csc \theta = 1.7292 \]
3. To find sin θ, take the reciprocal of 1.7292:
\[ \sin \theta = \frac{1}{1.7292} \]
4. Calculate the value:
\[ \sin \theta \approx 0.5783 \]
5. Use the inverse sine function (sin⁻¹) to find θ:
\[ \theta = \sin^{-1}(0.5783) \]
6. Use a calculator to find θ and round your answer to the nearest tenth of a degree.
**Additional Resources:**
- **Need Help?:**
- **Read It:** Click the "Read It" button for additional explanations and examples.
- **Talk to a Tutor:** Click the "Talk to a Tutor" button to get personalized assistance from a tutor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F643de4d0-ca3c-47ed-94f6-02fd3fafa065%2F692dabb8-3f25-4a65-9e7b-69c7d54c33d5%2F2g80wbf.jpeg&w=3840&q=75)
Transcribed Image Text:**Trigonometric Problem: Finding θ**
**Problem Statement:**
Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree.
**Given:**
\[ \csc \theta = 1.7292 \]
**Answer:**
\[ \boxed{\ \ \ \ °} \]
**Instructions:**
1. Start by understanding that csc θ (cosecant of θ) is the reciprocal of sin θ:
\[ \csc \theta = \frac{1}{\sin \theta} \]
2. You are given that:
\[ \csc \theta = 1.7292 \]
3. To find sin θ, take the reciprocal of 1.7292:
\[ \sin \theta = \frac{1}{1.7292} \]
4. Calculate the value:
\[ \sin \theta \approx 0.5783 \]
5. Use the inverse sine function (sin⁻¹) to find θ:
\[ \theta = \sin^{-1}(0.5783) \]
6. Use a calculator to find θ and round your answer to the nearest tenth of a degree.
**Additional Resources:**
- **Need Help?:**
- **Read It:** Click the "Read It" button for additional explanations and examples.
- **Talk to a Tutor:** Click the "Talk to a Tutor" button to get personalized assistance from a tutor.
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